3(w-5)-4(x+4)=-x-1

Solution for 3(w-5)-4(x+4)=-x-1 equation:

Simplifying
3(w + -5) + -4(x + 4) = -1x + -1

Reorder the terms:
3(-5 + w) + -4(x + 4) = -1x + -1
(-5 * 3 + w * 3) + -4(x + 4) = -1x + -1
(-15 + 3w) + -4(x + 4) = -1x + -1

Reorder the terms:
-15 + 3w + -4(4 + x) = -1x + -1
-15 + 3w + (4 * -4 + x * -4) = -1x + -1
-15 + 3w + (-16 + -4x) = -1x + -1

Reorder the terms:
-15 + -16 + 3w + -4x = -1x + -1

Combine like terms: -15 + -16 = -31
-31 + 3w + -4x = -1x + -1

Reorder the terms:
-31 + 3w + -4x = -1 + -1x

Solving
-31 + 3w + -4x = -1 + -1x

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '31' to each side of the equation.
-31 + 3w + 31 + -4x = -1 + 31 + -1x

Reorder the terms:
-31 + 31 + 3w + -4x = -1 + 31 + -1x

Combine like terms: -31 + 31 = 0
0 + 3w + -4x = -1 + 31 + -1x
3w + -4x = -1 + 31 + -1x

Combine like terms: -1 + 31 = 30
3w + -4x = 30 + -1x

Add '4x' to each side of the equation.
3w + -4x + 4x = 30 + -1x + 4x

Combine like terms: -4x + 4x = 0
3w + 0 = 30 + -1x + 4x
3w = 30 + -1x + 4x

Combine like terms: -1x + 4x = 3x
3w = 30 + 3x

Divide each side by '3'.
w = 10 + x

Simplifying
w = 10 + x